Abstract
For \( \mathcal{N} = 6 \) superconformal Chern-Simons-matter theories in three dimensions, by a direct superspace Feynman diagram approach, we compute the two-loop four-point scattering amplitude with external chiral matter fields. We find that the result is in perfect agreement with the two-loop result for a light-like four-polygon Wilson loop. This is the first non-trivial evidence that an amplitudes/Wilson loop duality might work in three dimensions. Moreover, both the IR divergent and the finite parts of our two-loop result agree with a BDS-like ansatz for all-loop amplitudes where the scaling function is given in terms of the \( \mathcal{N} = 4 \) SYM one, according to the conjectured Bethe equations for ABJM. Consequently, we are able to make a prediction for the four-loop correction to the amplitude. We also discuss the dual conformal invariance of the two-loop result.
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Arxiv Eprint: 1107.3139
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Bianchi, M.S., Leoni, M., Mauri, A. et al. Scattering amplitudes/Wilson loop duality in ABJM theory. J. High Energ. Phys. 2012, 56 (2012). https://doi.org/10.1007/JHEP01(2012)056
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DOI: https://doi.org/10.1007/JHEP01(2012)056